GATE EE 2013
View Questions

GATE EE

In the circuit shown below, the knee current of the ideal Zener diode is $$10$$ $$mA.$$ To maintain $$5 V$$ across $${R_
View Question
A voltage $$1000\sin \omega t$$ Volts is applied across $$YZ.$$ Assuming ideal diodes, the voltage measured across $$WX$
View Question
In the circuit shown below what is the output voltage $$\left( {{V_{out}}} \right)$$ in Volts If a silicon transfer $$Q$
View Question
In the circuit shown below the op-amps are ideal. Then $${V_{out}}$$ in Volts is
View Question
In the feedback network shown below, if the feedback factor $$k$$ is increased, then the
View Question
The transfer function $${{{V_2}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the circuit shown below is
View Question
The signal flow graph for a system is given below. The transfer function $${{Y\left( s \right)} \over {U\left( s \right)
View Question
The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)}
View Question
The Bode plot of a transfer function $$G(s)$$ is shown in the figure below. The gain is $$\left( {20\log \left| {G\le
View Question
The state variable formulation of a system is given as $$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr
View Question
The state variable formulation of a system is given as $$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr
View Question
A bulb in staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bul
View Question
The clock frequency applied to the digital circuit shown in the figure below is $$1$$ $$kHz.$$ If the initial state of t
View Question
Consider a delta connection of resistors and it's equivalent star connection as shown below. If all elements of the delt
View Question
Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF respectively, have breakdown voltages of 10V, 5V and 2
View Question
A source $$v_s\left(t\right)=V\cos100\mathrm{πt}$$ has an internal impedance of (4 + j3) Ω.If a purely resistive load co
View Question
In the circuit shown below, if the source voltage $$V_s=100\angle53.12^\circ\;V$$ then the Thevenin’s equivalent voltage
View Question
Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective
View Question
The input impedance of the permanent magnet moving coil $$(PMMC)$$ voltmeter is infinite. Assuming that the diode shown
View Question
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $$V,$$ $${V_1}$$ and $${V_2}$$ ,
View Question
A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $$
View Question
A single-phase transformer has no-load loss of 64 W, as obtained from an open circuit test. When a short-circuit test is
View Question
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac
View Question
Leakage flux in an induction motor is
View Question
A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz source, is rotating at 1440 rpm. The electr
View Question
A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of
View Question
The flux density at a point in space is given by $$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\wid
View Question
The equation $$\left[ {\matrix{ 2 & { - 2} \cr 1 & { - 1} \cr } } \right]\left[ {\matrix{ {{x_1}}
View Question
A matrix has eigen values $$-1$$ and $$-2.$$ The corresponding eigenvectors are $$\left[ {\matrix{ 1 \cr { - 1}
View Question
A function $$y = 5{x^2} + 10x\,\,$$ is defined over an open interval $$x=(1,2).$$ At least at one point in this interval
View Question
The curl of the gradient of the scalar field defined by $$\,V = 2{x^2}y + 3{y^2}z + 4{z^2}x$$ is
View Question
Given a vector field $$\overrightarrow F = {y^2}x\widehat a{}_x - yz\widehat a{}_y - {x^2}\widehat a{}_z,$$ the line i
View Question
A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 < x < \in
View Question
When the Newton-Raphson method is applied to solve the equation $$\,\,f\left( x \right) = {x^3} + 2x - 1 = 0,\,\,$$ the
View Question
Square roots of $$-i,$$ where $$i = \sqrt { - 1} $$ are
View Question
$$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$ evaluated anticlockwise around the circular $$\left| {z - i} \right|
View Question
Thyristor $$T$$ in the figure below is initially off and is triggered with a single pulse of width $$10\mu s.$$ It is gi
View Question
In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$2
View Question
In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$2
View Question
The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to provide a $$50$$ $$Hz,$$ square-wave $$ac
View Question
The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to provide a $$50$$ $$Hz,$$ square-wave $$ac
View Question
A single load is supplied by a single voltage source. If the current flowing from the load to the source is $$10\angle
View Question
The angle $$\delta $$ in the swing equation of a synchronous generator is the
View Question
For a power system network with $$n$$ nodes, $${Z_{33}}$$ of its bus impedance matrix is $$j0.5$$ per unit. The voltage
View Question
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very
View Question
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very
View Question
For a periodic signal the $$v\left(t\right)=30\sin100t\;+\;10\cos300t\;+\;6\sin\left(500t\;+\;\frac{\mathrm\pi}4\right)
View Question
The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
View Question
Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is
View Question
Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the ca
View Question
The impulse response of a continuous time system is given by h(t) = $$\delta$$(t − 1) + $$\delta$$(t − 3). The value of
View Question
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the samplin
View Question
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12